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Simplifying 7(w + -5) + -5 = -4(-6w + 9) + -3w Reorder the terms: 7(-5 + w) + -5 = -4(-6w + 9) + -3w (-5 * 7 + w * 7) + -5 = -4(-6w + 9) + -3w (-35 + 7w) + -5 = -4(-6w + 9) + -3w Reorder the terms: -35 + -5 + 7w = -4(-6w + 9) + -3w Combine like terms: -35 + -5 = -40 -40 + 7w = -4(-6w + 9) + -3w Reorder the terms: -40 + 7w = -4(9 + -6w) + -3w -40 + 7w = (9 * -4 + -6w * -4) + -3w -40 + 7w = (-36 + 24w) + -3w Combine like terms: 24w + -3w = 21w -40 + 7w = -36 + 21w Solving -40 + 7w = -36 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -40 + 7w + -21w = -36 + 21w + -21w Combine like terms: 7w + -21w = -14w -40 + -14w = -36 + 21w + -21w Combine like terms: 21w + -21w = 0 -40 + -14w = -36 + 0 -40 + -14w = -36 Add '40' to each side of the equation. -40 + 40 + -14w = -36 + 40 Combine like terms: -40 + 40 = 0 0 + -14w = -36 + 40 -14w = -36 + 40 Combine like terms: -36 + 40 = 4 -14w = 4 Divide each side by '-14'. w = -0.2857142857 Simplifying w = -0.2857142857
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